Question

M is the Midpoint of AB. Find. the coordinates of b given. M(5,-4) and A(-4,2)

Answer 1

Explanation:

To find the coordinates of point B, we can use the midpoint formula:

B = (2M - A)

= (2(5,-4) - (-4,2))

= (10,-8) - (-4,2)

= (6,-10)

So the coordinates of point B are (6,-10).

Note that this formula works because the midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line segment. So if we know the coordinates of the midpoint and one of the endpoints, we can find the coordinates of the other endpoint by "undoing" the midpoint formula.